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Finding the Fourth Proportional to 110,543.21, 165,835.43 and 35,655.54

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Solution

The fourth proportional to 110,543.21, 165,835.43 and 35,655.54 is: 53,489.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,543.21 : 165,835.43 = 35,655.54 : x
  2. Step 2: Convert to fraction form
    110,543.21/165,835.43 = 35,655.54/x
  3. Step 3: Cross multiply
    110,543.21x = 165,835.43 × 35,655.54
  4. Step 4: Simplify right side
    110,543.21x = 5,912,951,973.87
  5. Step 5: Solve for x
    x = 5,912,951,973.87/110,543.21
  6. Step 6: Final answer
    x = 53,489.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.